论文标题
关于准线性SPDE的路径为轻度和弱解的等效性
On the equivalence of pathwise mild and weak solutions for quasilinear SPDEs
论文作者
论文摘要
这项工作的主要目的是将弱性和路径的温和解决方案联系起来，以抛物性抛物性准线性偏微分方程（SPDES）关联。以适当的方式从非自治的半线性SPDE理论扩展到准线性案例，我们证明了这两个解决方案概念的等效性。
The main goal of this work is to relate weak and pathwise mild solutions for parabolic quasilinear stochastic partial differential equations (SPDEs). Extending in a suitable way techniques from the theory of nonautonomous semilinear SPDEs to the quasilinear case, we prove the equivalence of these two solution concepts.
